Question

Raportul a doua numere naturale este 5 upra 7 iar suma lor este 60. Produsul celor doua numere este egal cu......?

Answer 1

a/b=5/7 => 7a=5b => a=5b/7
a+b=60

5b/7+b=60   *7
5b+7b=420
12b=420
b=35

a+35=60
a=25

Answer 2

[tex] \frac{a}{b} = \frac{5}{7} =\ \textgreater \ 5b=7a=\ \textgreater \ b=7a/5\\ a+b=60\ \textless \ =\ \textgreater \ 7a/5+a=60=\ \textgreater \ 7a+5a=300=\ \textgreater \ a=25\\ 25+b=60=\ \textgreater \ b=60-25=\ \textgreater \ b=35\\ a*b\ \textless \ =\ \textgreater \ 25*35=875[/tex]